# Do you know its property ?-13

Algebra Level 4

Let $$A=\begin{pmatrix} 4 & 1 \\ -9 &-2 \end{pmatrix}.$$ If $$A^{100}$$ can be represented as $$A^{100}=\begin{pmatrix} a & b \\ c & d \end{pmatrix},$$ what is the value of $$a+b+c+d?$$

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